Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2000-02-11
Phys.Scripta 62 (2000) 17-22
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
13 pages, 3 figures
Scientific paper
10.1238/Physica.Regular.062a0001
We consider exact solutions generated by the inverse scattering technique, also known as the soliton transformation. In particular, we study the class of simple real pole solutions. For quite some time, those solutions have been considered interesting as models of cosmological shock waves. A coordinate singularity on the wave fronts was removed by a transformation which induces a null fluid with negative energy density on the wave front. This null fluid is usually seen as another coordinate artifact, since there seems to be a general belief that that this kind of solution can be seen as the real pole limit of the smooth solution generated with a pair of complex conjugate poles in the transformation. We perform this limit explicitly, and find that the belief is unfounded: two coalescing complex conjugate poles cannot yield a solution with one real pole. Instead, the two complex conjugate poles go to a different limit, what we call a ``pole on a pole''. The limiting procedure is not unique; it is sensitive to how quickly some parameters approach zero. We also show that there exists no improved coordinate transformation which would remove the negative energy density. We conclude that negative energy is an intrinsic part of this class of solutions.
Berg Marcus
Bradley Michael
No associations
LandOfFree
Are Simple Real Pole Solutions Physical? does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Are Simple Real Pole Solutions Physical?, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Are Simple Real Pole Solutions Physical? will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-482199